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Finding the Fourth Proportional to 304.22, 419.22 and 216.74

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Solution

The fourth proportional to 304.22, 419.22 and 216.74 is: 298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.22 : 419.22 = 216.74 : x
  2. Step 2: Convert to fraction form
    304.22/419.22 = 216.74/x
  3. Step 3: Cross multiply
    304.22x = 419.22 × 216.74
  4. Step 4: Simplify right side
    304.22x = 90,861.74
  5. Step 5: Solve for x
    x = 90,861.74/304.22
  6. Step 6: Final answer
    x = 298.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.